How is factor used differently in math and science?

A factor in science means a variable that is manipulated in an experiment.

The term "factor" when used in mathematics largely refers to a number that could divide another number without remainder. For instance, 5 is a factor of 25.

In science, a factor could refer to variables that can be manipulated during an experiment. For instance, light intensity is a factor that can be considered during an experimental study of photosynthesis.

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In mathematics it is used for dividing a number, whereas in science it is element which helps in proving certain effects. So they are different for different subject.

Explanation:

In mathematics factor is to break or divide in to numbers which can be further multiplied to get the actual number. Example 6 = 3 2. here 2 and 3 are factors of 6. But when it comes to science factors are the elements that contributes something to result. It may be in controlled environment or naturally occurring one. The lab experiments are basically done in the controlled environment to check the factor effect over the experiment.